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Finding the Fourth Proportional to 1,301.25, 1,950.03 and 1,007.38

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Solution

The fourth proportional to 1,301.25, 1,950.03 and 1,007.38 is: 1,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.25 : 1,950.03 = 1,007.38 : x
  2. Step 2: Convert to fraction form
    1,301.25/1,950.03 = 1,007.38/x
  3. Step 3: Cross multiply
    1,301.25x = 1,950.03 × 1,007.38
  4. Step 4: Simplify right side
    1,301.25x = 1,964,416.18
  5. Step 5: Solve for x
    x = 1,964,416.18/1,301.25
  6. Step 6: Final answer
    x = 1,509.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.